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2022012100 = 225220220121
BaseRepresentation
bin111100010000101…
…0111010011000100
312012220202212011001
41320201113103010
513120113341400
6532350423044
7101051551003
oct17041272304
95186685131
102022012100
11948411689
12485201a84
13262bb3584
14152788c3a
15bc7aea6a
hex788574c4

2022012100 has 18 divisors (see below), whose sum is σ = 4387766474. Its totient is φ = 808804800.

The previous prime is 2022012061. The next prime is 2022012127. The reversal of 2022012100 is 12102202.

It can be written as a sum of positive squares in 3 ways, for example, as 55621764 + 1966390336 = 7458^2 + 44344^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10109961 + ... + 10110160.

Almost surely, 22022012100 is an apocalyptic number.

2022012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022012100 is an abundant number, since it is smaller than the sum of its proper divisors (2365754374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2022012100 is a wasteful number, since it uses less digits than its factorization.

2022012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20220135 (or 20220128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2022012100 is about 44966.7888557767. The cubic root of 2022012100 is about 1264.5264466074.

Adding to 2022012100 its reverse (12102202), we get a palindrome (2034114302).

The spelling of 2022012100 in words is "two billion, twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20220121 40440242 80880484 101100605 202201210 404402420 505503025 1011006050 2022012100